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On the Asymptotic Behaviour of General Partition Functions

Authors:	Nicolas J.-L. Sárközy A.

Affiliation:	(1) Institut Girard Desargues, UPRES-A 5028, Université Claude Bernard (Lyon 1), Bât. 101, F-69622 Villeurbanne Cedex, France;(2) Eötvös Loránd University, H-1088 Budapest, Múzeum krt. 6-8, Hungary

Abstract:	For A = {a₁, a₂,...} N, let p_A(n) denote the number of partitions of n into a's and let q_A(n) denote the number of partitions of n into distinct a's. The asymptotic behaviour of the quotient $frac{{log p_A (n)}}{{log q_A (n)}}$ is studied.

Keywords:	partitions generating functions asymptotic estimate
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